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Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559954" target="_blank" >RIV/67985840:_____/22:00559954 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1080/03605302.2022.2068425" target="_blank" >https://doi.org/10.1080/03605302.2022.2068425</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/03605302.2022.2068425" target="_blank" >10.1080/03605302.2022.2068425</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

  • Original language description

    In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a fluid governed by the full Navier-Stokes-Fourier system. The fluid and the shell are fully coupled, giving rise to a novel nonlinear moving boundary fluid-structure interaction problem involving heat exchange. The existence of a weak solution is obtained by combining three approximation techniques–decoupling, penalization and domain extension. In particular, the penalization and the domain extension allow us to use the methods already developed for compressible fluids on moving domains. In such a way, the proof is more elegant and the analysis is drastically simplified. Let us stress that this is the first time the heat exchange in the context of fluid-structure interaction problems is considered.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA19-04243S" target="_blank" >GA19-04243S: Partial differential equations in mechanics and thermodynamics of fluids</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Communications in Partial Differential Equations

  • ISSN

    0360-5302

  • e-ISSN

    1532-4133

  • Volume of the periodical

    47

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    45

  • Pages from-to

    1591-1635

  • UT code for WoS article

    000792721100001

  • EID of the result in the Scopus database

    2-s2.0-85130108373